47428064087040 has 4224 divisors, whose sum is σ = 219191937269760. Its totient is φ = 9214221090816.

The previous prime is 47428064087021. The next prime is 47428064087087. The reversal of 47428064087040 is 4078046082474.

47428064087040 is a `hidden beast` number, since 47 + 428 + 0 + 64 + 0 + 87 + 0 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 373449323457 + ... + 373449323583.

Almost surely, 2^{47428064087040} is an apocalyptic number.

47428064087040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47428064087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109595968634880).

47428064087040 is an abundant number, since it is smaller than the sum of its proper divisors (171763873182720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47428064087040 is a wasteful number, since it uses less digits than its factorization.

47428064087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 47428064087040 in words is "forty-seven trillion, four hundred twenty-eight billion, sixty-four million, eighty-seven thousand, forty".